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- W2079584842 abstract "We consider 3D flow equations inspired by the renormalization group (RG) equations of string theory with a three dimensional target space. By modifying the flow equations to include a U(1) gauge field, and adding carefully chosen De Turck terms, we are able to extend recent 2D results of Bakas to the case of a 3D Riemannian metric with one Killing vector. In particular, we show that the RG flow with De Turck terms can be reduced to two equations: the continual Toda flow solved by Bakas, plus its linearizaton. We find exact solutions which flow to homogeneous but not always isotropic geometries." @default.
- W2079584842 created "2016-06-24" @default.
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- W2079584842 date "2006-03-01" @default.
- W2079584842 modified "2023-09-27" @default.
- W2079584842 title "The generalized Ricci flow for three-dimensional manifolds with one Killing vector" @default.
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- W2079584842 doi "https://doi.org/10.1063/1.2178585" @default.
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